2(2x+3)+3(x-1)=31

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Solution for 2(2x+3)+3(x-1)=31 equation:


Simplifying
2(2x + 3) + 3(x + -1) = 31

Reorder the terms:
2(3 + 2x) + 3(x + -1) = 31
(3 * 2 + 2x * 2) + 3(x + -1) = 31
(6 + 4x) + 3(x + -1) = 31

Reorder the terms:
6 + 4x + 3(-1 + x) = 31
6 + 4x + (-1 * 3 + x * 3) = 31
6 + 4x + (-3 + 3x) = 31

Reorder the terms:
6 + -3 + 4x + 3x = 31

Combine like terms: 6 + -3 = 3
3 + 4x + 3x = 31

Combine like terms: 4x + 3x = 7x
3 + 7x = 31

Solving
3 + 7x = 31

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 7x = 31 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 31 + -3
7x = 31 + -3

Combine like terms: 31 + -3 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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